Method and apparatus for obtaining the distance from an optical measurement instrument to an object under test
Systems and methods for measuring a distance from a reference plane of an optical measurement instrument to a reference plane of an optical device under test are disclose. In one embodiment a system for measuring this distance includes an illumination system, an optical system, and optical sensor and a processor. The illumination system is configured or adapted to illuminate the object under test. The optical system is configured or adapted to receive light from the object under test and to produce an aberrated image. The optical sensor is configured or adapted to receive and sense the aberrated image. The processor determines the distance from the reference plane of the optical measurement instrument to the reference plane of the optical device based on an aspect of the aberrated image sensed by the optical sensor.
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This patent application claims priority under 35 U.S.C. §119 of U.S. provisional patent application 60/857,776 filed on 9 Nov. 2006, the entirety of which is hereby incorporated by reference for all purposes as if fully set forth herein.
BACKGROUND AND SUMMARY1. Field
This invention relates generally to the field of optical measurement instruments, such as eye examination instruments, and more particularly an apparatus and method for measuring or computing the distance from an object under test (e.g., an eye) to an optical or mechanical reference plane of a measurement instrument.
2. Description
Optical measurement instruments, such as instruments which measure the optical properties of the human eye, rely on the correct working distance being set between a reference plane of the instrument and a reference plane of the object being measured, so that the best possible imaging conditions are met, resulting in the highest possible accuracy of the instrument. A misalignment of this distance (hereinafter referred to as the “Z-Distance”) can result in measurement inaccuracies. In the case of corneal topography, keratometry and wavefront aberration measurements the result can be a misinterpretation of the radius of curvature of either a surface or waves of light, or error in measurement of other parameters such as ocular refraction, higher order aberrations or pupil size. These inaccuracies will furthermore be of unknown magnitude, due to the unknown error in the Z-distance.
Accordingly, it would be advantageous to provide an arrangement that can be used to determine accurately the distance between a reference plane of an optical measurement instrument and a reference plane of an object under test. It would further be advantageous to provide such an arrangement that can be in a standalone configuration, or integrated into the optical measurement instrument.
It would also be advantageous to provide a method for accurately measuring or computing the distance from a surface of an eye or other object under test to an optical or mechanical reference plane of a measurement instrument. Other and further objects and advantages will appear hereinafter.
In one aspect of the invention, a method is provided for measuring the distance from a reference plane of an optical measurement instrument to a reference plane of an object under test. The method comprises: illuminating the object under test with a source; passing light from the object under test through an optical system to produce an aberrated image of the source such that an aspect of the aberrated image varies when the distance between the reference plane of the object and the reference plane the optical system changes; sensing the aberrated image with an optical sensor; and determining the distance from the reference plane of the optical measurement instrument to the reference plane of the object under test based on an aspect of an aberrated image sensed by the optical sensor (e.g., based on a shape, aspect ratio, or intensity distribution of the aberrated image, or some portion thereof). In some embodiments, the aspect of the aberrated image varies between when the distance is greater than a nominal distance DNOM, and when the distance is less than DNOM, the variation being different in a first direction than in a second direction perpendicular to the first direction. In some embodiments, the source is dimensioned to form or approximate a point source. In other embodiments, the method includes illuminating the test object with a light pattern comprising two or more sources.
In another aspect of the invention, a system is provided for measuring a distance from a reference plane of an optical measurement instrument to a reference plane of an optical device under test. The system comprises: an illumination system adapted to illuminate the object under test; an optical system adapted to receive light from the object under test and to produce an aberrated image; an optical sensor adapted to receive and sense the aberrated image; and a processor adapted to determine the distance from the reference plane of the optical measurement instrument to the reference plane of the optical device based on an aspect of the aberrated image sensed by the optical sensor (e.g., based on a shape, aspect ratio, or intensity distribution of the aberrated image, or some portion thereof). In some embodiments, the aberrated image is formed such that an aspect of the aberrated image varies between when the distance is greater than a nominal distance DNOM, and when the distance is less than DNOM, the variation being different in a first direction than in a second direction perpendicular to the first direction. In some embodiments, the illumination system comprises source that is dimensioned to form or approximate a point source. In other embodiments, the illumination system comprises a light pattern having two or more sources.
In yet another aspect of the invention, a system is provided for measuring a distance from a reference plane of an optical measurement instrument to a reference plane of an object under test. The system comprises: an illumination system for providing a pattern of light to the object under test; an optical system which forms an astigmatic image of the pattern of light; an optical sensor adapted to receive the astigmatic image; and a processor adapted to determine the distance from the reference plane of the optical measurement instrument to the reference plane of the optical device based on an aspect of the astigmatic image sensed by the optical sensor (e.g., based on a shape, aspect ratio, or intensity distribution of the aberrated image, or some portion thereof).
Disclosed below are systems and methods that utilize an aberration introduced by an optical system to determine the Z-Distance of an optical measurement system to an object under test, such as an eye or other optical system or component.
System 100 includes an illumination system 110, an optical system 120, an optical sensor 130, a processor 140, and memory 150.
System 100 may be integrated with an optical measurement instrument, or may be configured as a standalone system that can be employed at the start of an optical measurement to determine the distance from the reference plane 105 for the optical measurement instrument to a reference plane 15 of object under test 10 (hereinafter referred to as “the Z-Distance”) to maintain the accuracy of measurements made by the optical measurement instrument. The reference plane 105 for the optical measurement instrument can be chosen as any plane that is convenient for measurement purposes. In one embodiment the reference plane 105 may pass through optical system 120.
Illumination system 110 illuminates object under test 10 with a predetermined pattern comprising one or more sources of light. An exemplary embodiment of illumination system 110 will be described in greater detail below with respect to
Optical system 120 introduces an aberration into a received light pattern such that at least one aspect of the light pattern and/or the one or more sources of light varies asymmetrically, for example, varies asymmetrically about a nominal Z-Distance (“DNOM”) in orthogonal first and second directions. That is, as the light pattern, and individual sources therein, passes through optical system 120, at least one aspect of the light pattern and/or sources change differently in the X-direction (“into the page” in
In operation, illumination system 110 illuminates object under test 10 with light having a predetermined pattern. At least a portion of the pattern of light that illuminates object under test 10 is scattered or reflected or both toward optical system 120. Optical system 120 produces an aberrated image of the predetermined pattern or portion or light source thereof, as described above.
Optical sensor 130 receives the aberrated image produced by optical system 120 and outputs detected image data. Optical sensor 130 may comprise a photoreceptive sensor, such as a charge-coupled device (CCD) or a complementary metal oxide semiconductor (CMOS) detector.
Processor 140 receives the detected image data and uses the detected image data to determine the Z-Distance. In particular, processor 140 determines the Z-Distance based on an aspect of an aberrated image of the light pattern and/or the individual sources contained therein. In one embodiment, a characteristic of the sensed light is compared to reference data stored in memory 150. In that case, an object having a known radius of curvature may be used to generate at least one set of reference data as a function of the distance between reference plane 105 and the object having the known radius of curvature. For ease of comparison, the reference data may be fitted to a reference curve using a polynomial function or other convenient function.
System 200 includes an illumination system 210, an optional window 222, an optical element 224, a lens 226, an optical sensor 230, and a processor (not shown in
As in the case of system 100, system 200 may be integrated with an optical measurement instrument, or may be configured as a standalone system that can be employed at the start of a measurement to determine the Z-Distance to maintain the accuracy of measurements made by the optical measurement instrument.
Illumination system 210 illuminates object under test 10 with a predetermined pattern. An exemplary embodiment of illumination system 110 and 210 will be described in greater detail below with respect to
The combination of plate beamsplitter 224 and lens 226 produce an aberrated image of the light pattern and/or the individual sources contained therein. In particular, as the light pattern passes through the combination of plate beamsplitter 224 and lens 226, the “length” or size of the light pattern changes differently in the X-direction than it does in the Y-direction as the Z-Distance changes from being less than some nominal distance DNOM to being greater than DNOM. This is due to the astigmatism introduced by the system. Astigmatism, as is well known to one skilled in the art, is a difference in effective lens power along different meridians. Thus the lens 226 and beamsplitter combination 224 effectively has different focal lengths in the YZ plane than for the XZ plane. The aberration introduced into an image of the light pattern may be as simple as a single spot of light, a plurality of spots of light, or an extended source. The light pattern may also comprised of a collection of smaller light patterns. The analysis for calculating distance may be applied to the entire pattern, or to the individual constituents or sources making up the light pattern.
The astigmatic element creates an image of the source 210 onto the sensor 230 which has finite size corresponding to the rays that are in proper focus. For the example shown in
The net result is that the shape of the image changes as the object is moved closer and further from the instrument. That is, when the object is closer than the nominal distance, then the aberrated image is smaller in the x-direction and larger in the y-direction. When the object is slightly further, then the image is slightly larger in the x-direction and slightly smaller in the Y-direction.
At the nominal distance (Dnom) the image is arranged so that the image appears approximately symmetrical in x- and y. This is called the circle of least confusion, and is well known to those skilled in the art. The actual z-distance from some physical instrument component may in general be different from this reference plane, however, it is straightforward to add the appropriate offset to the measurement distance if needed as this would be just a constant offset.
Optical sensor 230 receives and senses the light from lens 226 and outputs detected image data. Optical sensor 230 may comprise a photoreceptive sensor, such as a charge-coupled device (CCD) or a complementary metal oxide semiconductor (CMOS) detector.
A processor receives the detected image data and uses the detected image data to determine the Z-Distance. In particular, processor 140 determines the Z-Distance based on the astigmatism of the light sensed by optical sensor 230.
To better illustrate the operation of system 200, a concrete example will now be described with a particular light pattern in a case where the object under test is a human eye.
The spot-source 301 shown in
For example, if the object under test is a human eye is positioned in a near range around the nominal working distance of an optical measuring instrument, each spot is first reflected by the cornea, which in a simple approximation acts as a spherical mirror, to form a virtual image behind the mirror. This image, created by reflected irradiation off the anterior surface of the cornea is also known as the first Purkinje Image (PKI), which for the vast majority of human eyes lies very near the iris plane. Hence a focused PKI brings the optical measuring instrument into the working distance if the goal is to image to a plane conjugate to the iris or exit pupil of the eye, as in a wavefront aberrometer system. If this is not the case, as in a corneal topographer or Keratometer, the offset to that plane can be applied using statistical values which are widely available in published literature.
The virtual image or PKI then acts as a source itself and is imaged onto optical sensor 130 or 230. In doing so, it passes through an aberrating optical system, such as optical system 120 or the system comprising the combination of plate beamsplitter 234 and lens 236, and optionally window 222.
Still referring to
Computational analysis of the image data from optical sensor 230, which can comprise a pattern recognition algorithm or edge detection algorithm, can be employed to locate each spot and allow for setting of areas of interest and the computation of centroids.
One method of computing centroids (x0, y0) in X and Y directions is given in equations (1a-1b):
where I may be the actual pixel values or be constructed by thresholding or otherwise processing these values.
With this data, the spot size in X and Y direction scan be computed. One convenient mathematical method for calculating the spot size is to use the 2nd moment calculation method. The second moments may be defined as in equations (2a-2b):
To calculate a relative difference ratio of 2nd moment data in the X and Y directions, we divide the difference through the sum as shown in equation (3):
To compensate for uneven illumination, whether caused by variances in the light emitting devices or ambient light conditions or obstacles in the optical path (e.g. dust), in one embodiment, the average second moment difference ratio DR is calculated for a plurality of light spots by, for example, using a ring of light spots as illustrated above in
In practice, in one embodiment a user positions the system 200 into a range around a nominal working distance, where the imaged spots are defocused, for example, to a degree where they can be reliably located by pattern recognition or edge detection algorithms. For this purpose this is implemented in a “live” mode, where the user of the instrument can adjust the distance while inspecting the in-range or out-of-range condition on a display.
After positioning and acquisition of the image, the spots are located and the 2nd Moments for each spot, or selected spots, are calculated using Equations 2a-2b above, for example by a processor connected to an output of optical sensor 230 such as the processor 140 of
This graph can be experimentally obtained for one or more objects under test with a known radius of curvature. These can be a set of calibrated metal ball bearings obtained from a ball bearing gauge set. The range of radii of curvature can include the statistical range of radii of curvature of human corneas. The 2nd moment difference ratio data versus Z-Distance is calculated for one or more known spheres and stored in memory (e.g., memory 150) as reference data. The references data can be used to generate one or more analytical curves, for example with an n order polynomial fit, as illustrated in Equation (4).
DR=c0+c1z+c2z2+ . . . +cnzn (4)
The fit polynomial coefficients c1 through cn can stored in a memory (e.g., memory 150) for the computation of the Z-Distance of an image from an unknown surface. These curves are hereinafter called “Reference Curves.”
In certain embodiments, derived data such as that provided by Equation (3) or illustrated in
In other embodiments, data such as that provided by Equation (3) or illustrated in
In a step 910, an object under test is illuminated.
In a step 920, light from the object under test is passed through an optical system which produces an aberrated image that changes such that an aspect of the image varies between when the distance is greater than a nominal distance DNOM and when the distance is less than DNOM, the variation being different in a first direction than in a second direction perpendicular to the first direction.
In a step 930, the aberrated image is sensed with an optical sensor.
In a step 940, the distance from the reference plane of the optical measurement instrument to the reference plane of the object under test is determined based on a measured aspect of the aberrated image sensed by the optical sensor.
In the several of the embodiments described above astigmatism was used as the exemplary aberration. However, there are many possible aberrations that may be introduced by, for example, the systems in
Embodiments of the system and method described above can be employed with a variety of optical measurement instruments such as eye examination instruments, including ophthalmic diagnostic and/or therapeutic instruments. Examples of such eye examination instruments include wavefront aberrometers, autorefractors, corneal topographers and other instruments which require the knowledge of precise distance of the measurement device to a reference plane of the optical system under test, to perform measurements such as wavefront measurement of the human eye, topography of a human cornea or optical coherence tomography of the human cornea, vitreous humor and tens. The object under test can be, but is not limited to, a human eye, a contact lens, an intraocular lens (IOL), or another object in a wet (hydrated and/or containing liquid film on its surface) or dry state. With the true distance to the object under test, or the difference between the true distance and a nominal distance, being known, then measurement results can be recomputed or corrected to achieve the highest possible measurement accuracy.
While preferred embodiments are disclosed herein, many variations are possible which remain within the concept and scope of the invention. Such variations would become clear to one of ordinary skill in the art after inspection of the specification, drawings and claims herein. The invention therefore is not to be restricted except within the spirit and scope of the appended claims.
Claims
1. A method of measuring a distance from a reference plane of an optical measurement instrument to a reference plane of an object under test, comprising:
- illuminating the object under test with a source;
- passing light from the object under test through an optical system having at least one optical aberration;
- producing an aberrated image of at least a portion of the source from the light passed through the optical system from the object under test;
- sensing the aberrated image with an optical sensor; and
- determining the distance from the reference plane of the optical measurement instrument to the reference plane of the object under test based on an aspect of the aberrated image sensed by the optical sensor.
2. The method of claim 1, wherein illuminating the object under test comprises directing a symmetrical pattern of light spots onto the object under test.
3. The method of claim 1, wherein the object under test is a human eye, and wherein the method further comprises measuring an optical property of the human eye based on the distance from the reference plane of the optical measurement instrument to a reference plane of the human eye.
4. The method of claim 1, wherein the object under test is one of an intraocular lens and a contact lens.
5. The method of claim 1 wherein the optical instrument is an ophthalmic or optometric diagnostic instrument, and wherein the method further comprises measuring the distance from the reference plane of the optical measurement instrument to a reference plane of the human eye with the diagnostic instrument.
6. The method of claim 1, wherein the optical system includes an astigmatic element which applies astigmatism to the light from the object under test.
7. The method of claim 1, wherein passing the light from the object under test through the optical system comprises:
- passing the light through a plate beamsplitter tilted in a third direction perpendicular to the first and second directions; and
- passing light from the plate beamsplitter through a lens.
8. The method of claim 1, further comprising using an object having a known radius of curvature to generate at least one set of reference data as a function of distance between the reference plane of the optical measurement instrument and the object having the known radius of curvature, wherein determining the distance from the reference plane of the optical measurement instrument to the reference plane of the optical device under test comprises comparing a characteristic of the aberrated image sensed by the optical sensor to the reference data.
9. The method of claim 1, further comprising adjusting the relative position of the object under test to the instrument until a desired value is obtained.
10. The method of claim 1, wherein the aspect of the aberrated image varies between when the distance is greater than a nominal distance DNOM, and when the distance is less than DNOM, the variation being different in a first direction than in a second direction perpendicular to the first direction.
11. A system for measuring a distance from a reference plane of an optical measurement instrument to a reference plane of an object under test, comprising:
- an illumination system configured to illuminate the object under test;
- an optical system configured to receive light from the object under test and to produce an aberrated image from the light received from the object under test;
- an optical sensor configured to receive and sense the aberrated image; and
- a processor coupled to the optical sensor and configured to determine the distance from the reference plane of the optical measurement instrument to the reference plane of the object based on an aspect of the aberrated image sensed by the optical sensor.
12. The system of claim 11, wherein the illumination system comprises a symmetrical pattern of light sources.
13. The system of claim 11, wherein the object under test is a human eye.
14. The system of claim 11, wherein the object under test is one of an intraocular lens and a contact lens.
15. The system of claim 11, wherein the optical instrument is an ophthalmic or optometric diagnostic instrument.
16. The system of claim 11, wherein the optical system includes an astigmatic element which applies astigmatism to the light from the object under test.
17. The system of claim 11, wherein the optical system comprises:
- a plate beamsplitter tilted in a third direction perpendicular to the first and second directions; and
- a lens arranged to receive light from the plate beamsplitter.
18. The system of claim 11, further comprising a memory coupled to the processor for storing reference data for a plurality of distances between the reference plane of the optical measurement instrument and an object having the known radius of curvature.
19. The system of claim 11, wherein the aspect of the aberrated image is an aspect ratio of the aberrated image or a 2nd moment difference ratio.
20. A system for measuring a distance from a reference plane of an optical measurement instrument to a reference plane of an object under test, comprising:
- an illumination system for providing a pattern of light to the object under test;
- an optical system which produces an astigmatic image of the pattern of light;
- an optical sensor adapted to receive and sense the astigmatic image of the pattern of light; and
- a processor coupled to the optical sensor and adapted to determine the distance from the reference plane of the optical measurement instrument to the reference plane of the object based on an aspect of the astigmatic image sensed by the optical sensor.
21. The system of claim 20, wherein the processor is configured to calculate a 2nd moment difference ratio of the astigmatic image of the pattern of light, DR, where DR = 2 M x - 2 M y 2 M x + 2 M y, where 2MX is the second moment of the astigmatic image in a first direction, and 2MY is the second moment of the astigmatic image in a second direction perpendicular to the first direction.
22. The system of claim 20, wherein the optical system comprises:
- a plate beamsplitter tilted in a third direction perpendicular to the first and second directions; and
- a lens arranged to receive light from the plate beamsplitter.
23. The system of claim 20, wherein the illumination system comprises a plurality of light sources arranged in a ring.
Type: Grant
Filed: Nov 9, 2007
Date of Patent: Feb 15, 2011
Patent Publication Number: 20080291396
Assignee: AMO Wavefront Sciences LLC. (Santa Ana, CA)
Inventors: C. David Baer (Albuquerque, NM), Daniel R. Neal (Tijeras, NM), Richard James Copland (Albuquerque, NM), David Austin Neal (Albuquerque, NM)
Primary Examiner: Jack Dinh
Application Number: 11/938,145
International Classification: A61B 3/14 (20060101); A61B 3/10 (20060101); A61B 3/00 (20060101);